Find the LCM of 673, 717, 119, 404, 505 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 673, 717, 119, 404, 505. So, keep reading to learn more.
Given numbers are 673,717,119,404,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,717,119,404,505 is 115993205580.
Find LCM of 673,717,119,404,505 with Prime Factorization
101 | 673, 717, 119, 404, 505 |
673, 717, 119, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
101 x 673 x 717 x 119 x 4 x 5 = 115993205580
Therefore, the lowest common multiple of 673,717,119,404,505 is 115993205580.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
673 x 717 x 119 x 404 x 505 = 11715313763580
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
673 : 1, 673
717 : 1, 3, 239, 717
119 : 1, 7, 17, 119
404 : 1, 2, 4, 101, 202, 404
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,717,119,404,505, is 1.
Now, the common factors can be found like this.
673:673
717:3x 239
119:7x 17
404:2x 2x 101
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
101 = 101
Therefore, the value for common factors is 101.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 11715313763580/(1x101)
LCM = 11715313763580/101
LCM = 115993205580
Thus, we can understand that the LCM of 673,717,119,404,505 is 115993205580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 673, 717, 119, 404, 505?
Answer: LCM of 673, 717, 119, 404, 505 is 115993205580.
2. How to calculate the LCM of 673, 717, 119, 404, 505?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 673, 717, 119, 404, 505.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.